Breaking flavor democracy with symmetric perturbations
Abstract
Flavor democracy broken in the fermion mass matrix by means of small perturbations can give rise to hierarchical fermion masses. We study the breaking of the S$$L\atop{3}$$×S$$R\atop{3}$$ symmetry associated with democratic mass matrices to a smaller exchange symmetry S$$L\atop{2}$$×S$$R\atop{2}$$ in the charged lepton, up and down quark sectors. An additional breaking of the S$$L\atop{2}$$×S$$R\atop{2}$$ symmetry is necessary for the down quark mass matrix, which yields arbitrary perturbations in that sector. On the other hand, we require the neutrino mass matrix to be diagonal at the leading order, with the perturbations left arbitrary due to the absence of any guiding symmetry. We show that the interplay between these two kinds of perturbations reproduces the quark and lepton mass and mixing observables for either hierarchy of neutrino masses.
- Authors:
- Publication Date:
- Research Org.:
- Univ. of Hawaii, Honolulu, HI (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1467948
- Alternate Identifier(s):
- OSTI ID: 1598038
- Grant/Contract Number:
- de-sc0010504; SC0010504
- Resource Type:
- Published Article
- Journal Name:
- Physics Letters B
- Additional Journal Information:
- Journal Name: Physics Letters B Journal Volume: 785 Journal Issue: C; Journal ID: ISSN 0370-2693
- Publisher:
- Elsevier
- Country of Publication:
- Netherlands
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Ghosh, Tathagata, Liao, Jiajun, Marfatia, Danny, and Yanagida, Tsutomu T. Breaking flavor democracy with symmetric perturbations. Netherlands: N. p., 2018.
Web. doi:10.1016/j.physletb.2018.08.062.
Ghosh, Tathagata, Liao, Jiajun, Marfatia, Danny, & Yanagida, Tsutomu T. Breaking flavor democracy with symmetric perturbations. Netherlands. https://doi.org/10.1016/j.physletb.2018.08.062
Ghosh, Tathagata, Liao, Jiajun, Marfatia, Danny, and Yanagida, Tsutomu T. Mon .
"Breaking flavor democracy with symmetric perturbations". Netherlands. https://doi.org/10.1016/j.physletb.2018.08.062.
@article{osti_1467948,
title = {Breaking flavor democracy with symmetric perturbations},
author = {Ghosh, Tathagata and Liao, Jiajun and Marfatia, Danny and Yanagida, Tsutomu T.},
abstractNote = {Flavor democracy broken in the fermion mass matrix by means of small perturbations can give rise to hierarchical fermion masses. We study the breaking of the S$L\atop{3}$×S$R\atop{3}$ symmetry associated with democratic mass matrices to a smaller exchange symmetry S$L\atop{2}$×S$R\atop{2}$ in the charged lepton, up and down quark sectors. An additional breaking of the S$L\atop{2}$×S$R\atop{2}$ symmetry is necessary for the down quark mass matrix, which yields arbitrary perturbations in that sector. On the other hand, we require the neutrino mass matrix to be diagonal at the leading order, with the perturbations left arbitrary due to the absence of any guiding symmetry. We show that the interplay between these two kinds of perturbations reproduces the quark and lepton mass and mixing observables for either hierarchy of neutrino masses.},
doi = {10.1016/j.physletb.2018.08.062},
journal = {Physics Letters B},
number = C,
volume = 785,
place = {Netherlands},
year = {2018},
month = {10}
}
https://doi.org/10.1016/j.physletb.2018.08.062